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Lower bound limit analysis by the symmetric Galerkin boundary element method and the Complex method

✍ Scribed by Xiaofeng Zhang; Yinghua Liu; Yanan Zhao; Zhangzhi Cen

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 295 KB
Volume: 191
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(01)00363-2

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✦ Synopsis

A solution procedure for lower bound limit analysis is presented making use of the Symmetric Galerkin Boundary Element Method (SGBEM) rather than of finite element method. The self-equilibrium stress fields are expressed by linear combination of several basic self-equilibrium stress fields with parameters to be determined. These basic selfequilibrium stress fields are expressed as elastic responses of the body to imposed permanent strains obtained through elastic-plastic incremental analysis. The Complex method is used to solve nonlinear programming and determine the maximal load amplifier. The numerical results show that it is efficient and accurate to solve limit analysis problems by using the SGBEM and the Complex method.

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## Abstract The symmetric Galerkin boundary element method is used to solve boundary value problems by keeping the symmetric nature of the matrix obtained after discretization. The matrix elements are obtained from a double integral involving the double derivative of Green's operator, which is high